Volume models for different structures of spur gear

Abstract

The volume of gear transmission system has been concerned by people. At present, the researchers mainly focus on the optimization algorithm, but there is a lack of research on the volume model of gear transmission system. In the paper, the single-stage spur-gear transmission system is considered and the volume models for different structures of spur gear are built. Firstly, the influence of bottom clearance and the modification coefficient on the spur-gear volume are analysed. The formula of clearance volume is derived. Secondly, volume models of different structure of spur gear are built. In order to illustrate the accuracy of the models, the corresponding three-dimensional models of different structure of spur gear are established. Finally, the design parameters of spur gear are as the optimisation variables, the spur-gears design and transmission requirements are as the constraint conditions, the total minimum volume of single-stage spur-gear transmission system is as the optimisation target, the genetic algorithm (GA) toolbox in Matlab software is adopted in the optimisation. A single-stage spur-gear system is as an example, and the optimisation for minimum volume of single-stage spur-gear transmission is carried out.

Keywords:

• Spur gear
• volume model
• gear structure
• clearance volume
• optimisation

Acknowledgements

The authors wish to acknowledge the financial support of National Natural Science Foundation of China (grant number 51475210), Taishan Scholar Project Special Funds (2016-2020) during the course of this investigation. The authors would also like to thank the editor and anonymous reviewers for their suggestions for improving the paper.